# News & Events

## Seminar

Date/Time:
Tuesday, April 12, 2016 - 11:30
Venue:
M-5
Speaker:
Dr. Kaushik Majumder
Affiliation:
ISI Kolkata
Title:
On uniform maximal intersecting family of finite sets
A maximal intersecting family of $k$-sets (in short $MIF(k)$) is an intersecting family of $k$-sets which can not be embedded properly into a larger intersecting family of $k$-sets. Erd\H{o}s and Lov\'{a}sz proved that up to an isomorphism there exists only finitely many $MIF(k)$s. So we can define two positive integers $$M(k):= max\{|F|: F \text{ is a MIF}(k)\}$$ $$N(k) := max\{|\cup_{B\in F} B|: F \text{ is a MIF}(k)\}$$ In this talk we shall discuss about these two integers.